The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  1  1  2  1  2  4  1  1  4  1  1  1  2  1  4  4  1  0  2  0  2  8  1  1  4  2
 0 12  0  0  0  0  0  0  0  0  4 12 12  8  4  4 12 12 12  8  0  8  0 12 12  4  8 12  4  4 12  8 12  0  8  4  4  8 12  4  4  8  0 12  8  4  4  0  4  4  8  0  8  4  0  8  4 12
 0  0 12  0  0  0  4 12 12  8  4  4  8  4  4  0  4  8  0  8 12  4  0  4  0  8  0  8 12 12 12  4  4  4  0  4  4  0 12  4  4  4  0  0 12  0  4  4  8  8  4  4  4  0  4  8  4  0
 0  0  0 12  0  4  4  4  0  8  0  0  0  0  4 12 12 12  0  8 12 12  4  4 12  0 12 12  8  0  4  8 12  0 12  8  8 12  8  0 12  4  8  8  8 12 12 12  8  8  0  4 12 12  8 12  0  0
 0  0  0  0 12  4  8  4  4  0  8  4 12 12  4  8  0  4 12  4 12  8  0  4  0  8 12  4  8  4  8  0  8  8  4  0  0  4  8  4 12  0 12  0  4  4  4  8  4  8  4 12 12  8 12 12  0  8
 0  0  0  0  0  8  8  0  8  8  0  0  0  0  0  8  0  8  8  8  8  0  8  8  0  8  0  0  8  8  8  8  8  8  8  0  8  0  0  0  0  8  0  0  0  8  0  0  0  8  0  8  0  0  8  8  8  0

generates a code of length 58 over Z16 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+120x^50+16x^51+336x^52+80x^53+619x^54+344x^55+930x^56+1128x^57+1224x^58+992x^59+966x^60+448x^61+462x^62+56x^63+235x^64+8x^65+104x^66+81x^68+31x^70+10x^72+1x^84

The gray image is a code over GF(2) with n=464, k=13 and d=200.
This code was found by Heurico 1.16 in 1.62 seconds.